Open AccessGeneralized -Euler Numbers and Polynomials
Author(s) -
Hyung-Woo Lee,
Nam Jung,
C. S. Ryoo
Publication year - 2012
Publication title -
isrn applied mathematics
Language(s) - English
Resource type - Journals
eISSN - 2090-5572
pISSN - 2090-5564
DOI - 10.5402/2012/475463
Subject(s) - mathematics , euler's formula , euler number (physics) , discrete orthogonal polynomials , orthogonal polynomials , classical orthogonal polynomials , complement (music) , wilson polynomials , semi implicit euler method , pure mathematics , difference polynomials , proof of the euler product formula for the riemann zeta function , gegenbauer polynomials , mathematical analysis , euler equations , backward euler method , biochemistry , chemistry , complementation , gene , phenotype , prime zeta function , arithmetic zeta function , riemann hypothesis
We generalize the Euler numbers and polynomials by the generalized -Euler numbers and polynomials . For the complement theorem, have interesting different properties from the Euler polynomials and we observe an interesting phenomenon of “scattering” of the zeros of the the generalized Euler polynomials in complex plane.
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